• Title of article

    The maximum sum of degrees above a threshold in planar graphs

  • Author/Authors

    Jerrold R. Griggs، نويسنده , , Yan-Chyuan Lin، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    11
  • From page
    233
  • To page
    243
  • Abstract
    We consider the maximum sum of the degrees of vertices with degree at least k in any simple planar graph on n vertices. West and Will solved this for k ⩾ 12 and n ⩾ mk and gave bounds for 6 ⩽ k ⩽ 11. Here we complete the solution by constructing graphs achieving the bounds for all n ⩾ mkwhen k ⩽ 11.
  • Journal title
    Discrete Mathematics
  • Serial Year
    1997
  • Journal title
    Discrete Mathematics
  • Record number

    951486